Moschino and Vergeylen have forged an unconventional approach to design that breathes new life into dated period properties, and endows modern buildings with warmth and charisma. Their effervescent approach to life keeps their interiors fresh and relaxed, attracting a young and discerning clientele in Europe and the US. The designers are energized by their global travels, informed by history, and inspired by encounters with people, places, film and art and fashion. The process by which their varied sources of inspiration translate into material form is explored in detail in Signature Spaces, providing a rare insight into how interior design works. Signature Spaces: Well-travelled Interiors by Paolo Moschino & Philip Vergleyn is an insider's view of the interior design process, revealing how any room can be transformed into a space for inspired living, as opposed to simply existing. Illustrated with hundreds of stunning photographs, drawings, and mood boards, the book explores the fascinating way in which the designers are energized by the world around them to create chic rooms that are never predictable. These are rooms that always feel welcoming, and always contain an element of surprise.

This integrated collection of perspectives on the spaces of teaching and learning uses ‘learning space’ to place educational practice in context. It considers the complex relationships involved in the design, management and use of contemporary learning spaces. It sheds light on some of the problems of connecting the characteristics of spaces to the practices and outcomes of teaching and learning. The contributions show how research into learning spaces can inform broader educational practices and how the practices of teaching, learning and design can inform research. The selection of chapters demonstrates the value of gathering together multiple sources of evidence, viewed through different epistemological lenses in order to push the field forward in a timely fashion. The book provides both a broad review of current practices as well as a deep-dive into particular educational and epistemological challenges that the various approaches adopted entail. Contrasts and commonalities between the different approaches emphasise the importance of developing a broad, robust evidence-base for practice in context. This is the inaugural book in the series Understanding Teaching-Learning Practice.

This text challenges binary perceptions of space and explores the possibilities afforded by a hybrid learning space at the intersection of physical, virtual, formal and informal spaces. It examines how new technologies and modes of delivery, including media-enhanced learning and open education, present opportunities as well as challenges. Chapters are supported by a wealth of case studies which illustrate academic innovation in diverse learning spaces and demonstrate how it can be used to inspire learners and promote student engagement. Packed with practical guidance and questions for reflection and discussion, this thought-provoking and timely guide is an essential resource for anyone involved in improving the student learning experience.

Einstein Spaces presents the mathematical basis of the theory of gravitation and discusses the various spaces that form the basis of the theory of relativity. This book examines the contemporary development of the theory of relativity, leading to the study of such problems as gravitational radiation, the interaction of fields, and the behavior of elementary particles in a gravitational field. Organized into nine chapters, this book starts with an overview of the principles of the special theory of relativity, with emphasis on the mathematical aspects. This text then discusses the need for a general classification of all potential gravitational fields, and in particular, Einstein spaces. Other chapters consider the gravitational fields in empty space, such as in a region where the energy-momentum tensor is zero. The final chapter deals with the problem of the limiting conditions in integrating the gravitational field equations. Physicists and mathematicians will find this book useful.

Exploring Musical Spaces is a comprehensive synthesis of mathematical techniques in music theory, written with the aim of making these techniques accessible to music scholars without extensive prior training in mathematics. The book adopts a visual orientation, introducing from the outset a number of simple geometric models--the first examples of the musical spaces of the book's title--depicting relationships among musical entities of various kinds such as notes, chords, scales, or rhythmic values. These spaces take many forms and become a unifying thread in initiating readers into several areas of active recent scholarship, including transformation theory, neo-Riemannian theory, geometric music theory, diatonic theory, and scale theory. Concepts and techniques from mathematical set theory, graph theory, group theory, geometry, and topology are introduced as needed to address musical questions. Musical examples ranging from Bach to the late twentieth century keep the underlying musical motivations close at hand. The book includes hundreds of figures to aid in visualizing the structure of the spaces, as well as exercises offering readers hands-on practice with a diverse assortment of concepts and techniques.

Causal fermion systems and Riemannian fermion systems are proposed as a framework for describing non-smooth geometries. In particular, this framework provides a setting for spinors on singular spaces. The underlying topological structures are introduced and analyzed. The connection to the spin condition in differential topology is worked out. The constructions are illustrated by many simple examples such as the Euclidean plane, the two-dimensional Minkowski space, a conical singularity, a lattice system as well as the curvature singularity of the Schwarzschild space-time. As further examples, it is shown how complex and Kähler structures can be encoded in Riemannian fermion systems.

This book provides the theory for stratified spaces, along with important examples and applications, that is analogous to the surgery theory for manifolds. In the first expository account of this field, Weinberger provides topologists with a new way of looking at the classification theory of singular spaces with his original results. Divided into three parts, the book begins with an overview of modern high-dimensional manifold theory. Rather than including complete proofs of all theorems, Weinberger demonstrates key constructions, gives convenient formulations, and shows the usefulness of the technology. Part II offers the parallel theory for stratified spaces. Here, the topological category is most completely developed using the methods of "controlled topology." Many examples illustrating the topological invariance and noninvariance of obstructions and characteristic classes are provided. Applications for embeddings and immersions of manifolds, for the geometry of group actions, for algebraic varieties, and for rigidity theorems are found in Part III. This volume will be of interest to topologists, as well as mathematicians in other fields such as differential geometry, operator theory, and algebraic geometry.